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diff --git a/Principles_Of_Foundation_Engineering/Chapter13.ipynb b/Principles_Of_Foundation_Engineering/Chapter13.ipynb
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+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:549425d7a43cc856ebd1610c783821836546fd833bb34512fcafdb71f662b655"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter13:Foundations on Difficult Soils"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Ex13.1:Pg-653"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#example 13.1\n",
+      "\n",
+      "Sw=1;\n",
+      "Z=2; # in m\n",
+      "deltaSf=0.0033*Z*Sw*1000; # in mm\n",
+      "print deltaSf,\"free surface swell in mm\"\n",
+      "\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "6.6 free surface swell in mm\n"
+       ]
+      }
+     ],
+     "prompt_number": 10
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Ex13.2:Pg-13.2"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#example 13.2\n",
+      "\n",
+      "#from figure 13.11\n",
+      "import matplotlib.pyplot as plt\n",
+      "%matplotlib inline\n",
+      "import numpy\n",
+      "deltaS=1/100.0*1/2.0*(0.55+0+0.55+1.2+1.2+2+2+3);\n",
+      "print deltaS*1000,\"total swell in mm\"\n",
+      "#partb\n",
+      "D=numpy.array([5.2, 4.2, 3.2, 2.2, 1.2]);\n",
+      "deltaS=numpy.array([0, 0.00275, 0.0115, 0.0275, 0.0525]);\n",
+      "print \"depth(m)\\t  total swell (m) \\n\"\n",
+      "for i in range (0,5):\n",
+      "    print D[i],\"\\t            \",deltaS[i],\" \\n\",\n",
+      "\n",
+      "plt.plot(deltaS*1000,D);\n",
+      "plt.title(\"depth vs total swell\")\n",
+      "plt.xlabel(\"total swell (m)\")\n",
+      "plt.ylabel(\"depth (m)\")\n",
+      "plt.show()\n",
+      "\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "52.5 total swell in mm\n",
+        "depth(m)\t  total swell (m) \n",
+        "\n",
+        "5.2 \t             0.0  \n",
+        "4.2 \t             0.00275  \n",
+        "3.2 \t             0.0115  \n",
+        "2.2 \t             0.0275  \n",
+        "1.2 \t             0.0525  \n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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Sw+23p0lvY8bAgQdCv36Vjs46wwnBzLpswQKYMCElhz//GQ44ICWH4cOhT48s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\nNwAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x1d192b0>"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Ex13.3:Pg-664"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#example 13.3\n",
+      "\n",
+      "import math\n",
+      "from scipy.optimize import fsolve\n",
+      "phi=12*math.pi/180;\n",
+      "Ds=0.8; # in m\n",
+      "Z=5; # in m \n",
+      "sigmaT=450;\n",
+      "U=math.pi*Ds*Z*sigmaT*math.tan(phi); # in kN\n",
+      "def f(D):\n",
+      "    return 1202-450*6.14/1.25*3.14/4*(D**2-0.8**2)\n",
+      "[x]=fsolve(f,1);\n",
+      "Db=x; # in m\n",
+      "print round(Db,2),\"diameter of bell in m\"\n",
+      "#partb\n",
+      "D=600; # in kN\n",
+      "cu=450; # in kN/m^2\n",
+      "Nc=6.14;\n",
+      "FS=cu*Nc*math.pi/4*(Db**2-Ds**2)/(U-D);\n",
+      "if FS>2 :\n",
+      "    print \"the structure is compatible with safety measures\"\n",
+      "\n",
+      "#check bearing capacity\n",
+      "L=D+300;#dead+live load in kN\n",
+      "Dp=L/math.pi*4/Db**2;#downward pressure\n",
+      "FS=2763/Dp; # factor of safety\n",
+      "if FS>3:\n",
+      "    print \"the structure is safe in bearing \"\n",
+      "\n",
+      "\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "1.15 diameter of bell in m\n",
+        "the structure is compatible with safety measures\n",
+        "the structure is safe in bearing \n"
+       ]
+      }
+     ],
+     "prompt_number": 9
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file